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Finding the Third Proportional to 345,716 and 739,384

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Solution

The third proportional to 345,716 and 739,384 is: 1,581,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,716 : 739,384 = 739,384 : x
  2. Step 2: Convert to fraction form
    345,716/739,384 = 739,384/x
  3. Step 3: Cross multiply
    345,716x = 739,384 × 739,384
  4. Step 4: Simplify right side
    345,716x = 546,688,699,456
  5. Step 5: Solve for x
    x = 546,688,699,456/345,716
  6. Step 6: Final answer
    x = 1,581,323.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.